Hexadecimal

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Hexadecimal
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Overview

• Hexadecimal (hex) base 16 number system
• Use 0 through 9 and ...
• A 10
• B 11
• C 12
• D 13
• E 14
• F 15

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Decimal Example

• 2657 2000 600 50 7
• 21000 6100 510 71
• 2103 6102 5101 7100

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Binary Example

• 10112 123 022 121 120
• 18 04 12 11
• 8 2 1 1110

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Hexadecimal Example

• A4F16 10162 4161 15160
• 10256 416 151
• 2560 64 15 263910

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Convert the following from hexadecimal to decimal

• 6116 ?
• F2316 ?
• Now convert the above to binary...

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Converting from Decimal to Hexadecimal

• Given the powers of 16 1, 16, 256, 4096, etc.
• Find the power that is just bigger than your
  number
• Go down to the next smallest power of 16
• Divide your number by that power
• Round the result down
• Make note of the result for that power of 16
• Multiply the rounded down result by its
  corresponding power of 16and then subtract that
  from your original number
• Using the result from Step 7, repeat Steps 1-7
  until you reach 0

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So why do we use hex?

• Binary is annoying to read
• Hexadecimal is slightly easier
• Binary ?? Hexadecimal is painless
• Example 11101010100101012 ?

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Converting binary to hexadecimal

• Split the binary number up into 4-bit sections
• Determine the hexadecimal value of each section
• Bamyoure done
• Example 111010010111010101000101

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Converting from hexadecimal to binary

• Determine the 4-bit binary value for each
  hexadecimal digit
• Bamyoure done